32625728 has 42 divisors (see below), whose sum is σ = 66300858. Its totient is φ = 15928320.

The previous prime is 32625721. The next prime is 32625731. The reversal of 32625728 is 82752623.

It can be written as a sum of positive squares in 3 ways, for example, as 906304 + 31719424 = 952^2 + 5632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32625721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238076 + ... + 238212.

Almost surely, 2^32625728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33150429).

32625728 is an abundant number, since it is smaller than the sum of its proper divisors (33675130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32625728 is an equidigital number, since it uses as much as digits as its factorization.

32625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 200 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 32625728 is about 5711.8935564312. The cubic root of 32625728 is about 319.5362031137.

The spelling of 32625728 in words is "thirty-two million, six hundred twenty-five thousand, seven hundred twenty-eight".